LCM of 132, 423, 416, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 423, 416, 919 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 132, 423, 416, 919. So, keep reading to learn more.
Given numbers are 132,423,416,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,423,416,919 is 1778860512.
Find LCM of 132,423,416,919 with Prime Factorization
| 2 | 132, 423, 416, 919 |
| 2 | 66, 423, 208, 919 |
| 3 | 33, 423, 104, 919 |
| 11, 141, 104, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 141 x 104 x 919 = 1778860512
Therefore, the lowest common multiple of 132,423,416,919 is 1778860512.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
132 x 423 x 416 x 919 = 21346326144
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
423 : 1, 3, 9, 47, 141, 423
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,423,416,919, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
423:3x 3x 47
416:2x 2x 2x 2x 2x 13
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 21346326144/(1x12)
LCM = 21346326144/12
LCM = 1778860512
Thus, we can understand that the LCM of 132,423,416,919 is 1778860512.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 132, 423, 416, 919
1. What is the LCM of 132, 423, 416, 919?
Answer: LCM of 132, 423, 416, 919 is 1778860512.
2. How to calculate the LCM of 132, 423, 416, 919?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 132, 423, 416, 919.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.